A 65-kg student runs at 5.0 m/s, grabs a rope, and swings

Chapter 17, Problem 86GP

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QUESTION:

A  student runs at \(5.0 \mathrm{~m} / \mathrm{s}\), grabs a rope, and swings out over a lake (Fig.  ). He releases the rope when his velocity is zero.

(a) What is the angle \(\theta\) when he releases the rope?

(b) What is the tension in the rope just before he releases it?

(c) What is the maximum tension in the rope?    

Equation Transcription:

Text Transcription:

5.0 m/s

\theta

Questions & Answers

QUESTION:

A  student runs at \(5.0 \mathrm{~m} / \mathrm{s}\), grabs a rope, and swings out over a lake (Fig.  ). He releases the rope when his velocity is zero.

(a) What is the angle \(\theta\) when he releases the rope?

(b) What is the tension in the rope just before he releases it?

(c) What is the maximum tension in the rope?    

Equation Transcription:

Text Transcription:

5.0 m/s

\theta

ANSWER:

Step 1 of 6

Consider two different positions of the person. First position at the time the person grabs the rope and the second position the person releases the rope. The diagram can be shown as,

                                               

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